MCQ
${{\left( -\frac{1}{2}+\frac{\sqrt{3}}{2}i \right)}^{1000}}=$
- A$\frac{1}{2}+\frac{\sqrt{3}}{2}i$
- B$\frac{1}{2}-\frac{\sqrt{3}}{2}i$
- ✓$-\frac{1}{2}+\frac{\sqrt{3}}{2}i$
- DNone of these
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Solution of a linear inequality in variable x is represented on number line.
$\text{x}\in\big(-\infty,\frac{7}{2}\big)$
$\text{x}\in\big(-\infty,\frac{7}{2}\big]$
$\text{x}\in\big(\frac{7}{2},-\infty\big)$
$\text{x}\in\big(\frac{7}{2},\infty\big)$
The coefficient of xn in the expansion of (1 + x)2n and (1 + x)2n - 1 are in the ratio.
Hint: $^{2\text{n}}\text{C}_\text{n} : \ ^{2\text{n} - 1}\text{C}_\text{n}$